On Oda's Strong Factorization Conjecture

Justin Semonsen: Rutgers University

In this talk we will translate a conjecture by Oda about birational maps of toric varieties into a conjecture about fans of simplicial cones. Further combinatorial techniques reduce the conjecture to an algorithmic form suitable for computation and experimentation. Experimental results gotten via Java provide insight into how one might prove the conjecture via a much simpler mechanism.